TSTP Solution File: LCL654+1.001 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL654+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:25:01 EDT 2022
% Result : Theorem 0.40s 0.62s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 13
% Syntax : Number of formulae : 140 ( 58 unt; 11 typ; 0 def)
% Number of atoms : 1641 ( 353 equ; 0 cnn)
% Maximal formula atoms : 29 ( 12 avg)
% Number of connectives : 4012 (1015 ~; 770 |; 36 &;2191 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 487 ( 0 ^ 483 !; 4 ?; 487 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p1,type,
p1: $i > $o ).
thf(tp_r1,type,
r1: $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_X,type,
sK2_X: $i > $i ).
thf(tp_sK3_Y,type,
sK3_Y: $i > $i > $i ).
thf(tp_sK4_Y,type,
sK4_Y: $i > $i > $i ).
thf(tp_sK5_X,type,
sK5_X: $i > $i > $i > $i ).
thf(tp_sK6_Y,type,
sK6_Y: $i > $i > $i ).
thf(tp_sK7_SY22,type,
sK7_SY22: $i ).
thf(tp_sK8_SY43,type,
sK8_SY43: $i ).
thf(tp_sK9_SY46,type,
sK9_SY46: $i ).
thf(1,axiom,
! [X: $i] : ( r1 @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(2,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
& ( p1 @ Y ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| $false ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(3,negated_conjecture,
( ( ~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
& ( p1 @ Y ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| $false ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
& ( p1 @ Y ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| $false ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(6,plain,
( ( ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( p1 @ Y ) ) )
& ( p1 @ Y ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) )
& ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) )
& ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| $false ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p1 @ X ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ( r1 @ sK1_X @ sK7_SY22 )
& ( r1 @ sK7_SY22 @ sK8_SY43 )
& ( r1 @ sK8_SY43 @ sK9_SY46 )
& ~ ( p1 @ sK9_SY46 )
& ! [SY45: $i] :
( ~ ( r1 @ sK7_SY22 @ SY45 )
| ( p1 @ SY45 ) )
& ! [SY26: $i] :
( ~ ( r1 @ sK1_X @ SY26 )
| ! [X: $i] :
( ~ ( r1 @ SY26 @ X )
| ( ( r1 @ X @ ( sK6_Y @ X @ SY26 ) )
& ( p1 @ ( sK6_Y @ X @ SY26 ) ) ) )
| ~ ( p1 @ SY26 ) )
& ! [SY29: $i] :
( ~ ( r1 @ sK1_X @ SY29 )
| ! [X: $i] :
( ~ ( r1 @ SY29 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK5_X @ Y @ X @ SY29 ) )
& ~ ( p1 @ ( sK5_X @ Y @ X @ SY29 ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) )
& ! [SY34: $i] :
( ~ ( r1 @ sK1_X @ SY34 )
| ! [X: $i] :
( ~ ( r1 @ SY34 @ X )
| ( ( r1 @ X @ ( sK4_Y @ X @ SY34 ) )
& ! [SY42: $i] :
( ~ ( r1 @ ( sK4_Y @ X @ SY34 ) @ SY42 )
| ( p1 @ SY42 ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ SY34 @ X )
| ( ( r1 @ X @ ( sK3_Y @ X @ SY34 ) )
& ~ ( p1 @ ( sK3_Y @ X @ SY34 ) ) ) ) )
& ! [SY40: $i] :
( ~ ( r1 @ sK1_X @ SY40 )
| ( r1 @ SY40 @ ( sK2_X @ SY40 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(9,plain,
( ( ( r1 @ sK1_X @ sK7_SY22 )
& ( r1 @ sK7_SY22 @ sK8_SY43 )
& ( r1 @ sK8_SY43 @ sK9_SY46 )
& ~ ( p1 @ sK9_SY46 )
& ! [SY45: $i] :
( ~ ( r1 @ sK7_SY22 @ SY45 )
| ( p1 @ SY45 ) )
& ! [SY26: $i] :
( ~ ( r1 @ sK1_X @ SY26 )
| ! [X: $i] :
( ~ ( r1 @ SY26 @ X )
| ( ( r1 @ X @ ( sK6_Y @ X @ SY26 ) )
& ( p1 @ ( sK6_Y @ X @ SY26 ) ) ) )
| ~ ( p1 @ SY26 ) )
& ! [SY29: $i] :
( ~ ( r1 @ sK1_X @ SY29 )
| ! [X: $i] :
( ~ ( r1 @ SY29 @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( ( r1 @ Y @ ( sK5_X @ Y @ X @ SY29 ) )
& ~ ( p1 @ ( sK5_X @ Y @ X @ SY29 ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p1 @ Y ) ) ) )
& ! [SY34: $i] :
( ~ ( r1 @ sK1_X @ SY34 )
| ! [X: $i] :
( ~ ( r1 @ SY34 @ X )
| ( ( r1 @ X @ ( sK4_Y @ X @ SY34 ) )
& ! [SY42: $i] :
( ~ ( r1 @ ( sK4_Y @ X @ SY34 ) @ SY42 )
| ( p1 @ SY42 ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ SY34 @ X )
| ( ( r1 @ X @ ( sK3_Y @ X @ SY34 ) )
& ~ ( p1 @ ( sK3_Y @ X @ SY34 ) ) ) ) )
& ! [SY40: $i] :
( ~ ( r1 @ sK1_X @ SY40 )
| ( r1 @ SY40 @ ( sK2_X @ SY40 ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY22 )
| ~ ~ ( ~ ( r1 @ sK7_SY22 @ sK8_SY43 )
| ~ ~ ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK7_SY22 @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK6_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK6_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK4_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK2_X @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: $i] :
( ( r1 @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY22 )
| ~ ~ ( ~ ( r1 @ sK7_SY22 @ sK8_SY43 )
| ~ ~ ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK7_SY22 @ SX0 )
| ( p1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK6_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK6_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK4_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK2_X @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY22 )
| ~ ~ ( ~ ( r1 @ sK7_SY22 @ sK8_SY43 )
| ~ ~ ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK7_SY22 @ SX0 )
| ( p1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK6_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK6_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK4_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK2_X @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY22 )
| ~ ~ ( ~ ( r1 @ sK7_SY22 @ sK8_SY43 )
| ~ ~ ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK7_SY22 @ SX0 )
| ( p1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK6_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK6_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK4_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK2_X @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY22 )
| ~ ~ ( ~ ( r1 @ sK7_SY22 @ sK8_SY43 )
| ~ ~ ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK7_SY22 @ SX0 )
| ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK6_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK6_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK4_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK2_X @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( ~ ( r1 @ sK1_X @ sK7_SY22 )
| ~ ~ ( ~ ( r1 @ sK7_SY22 @ sK8_SY43 )
| ~ ~ ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK7_SY22 @ SX0 )
| ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK6_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK6_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK4_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK2_X @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ( ~ ( r1 @ sK1_X @ sK7_SY22 )
| ~ ~ ( ~ ( r1 @ sK7_SY22 @ sK8_SY43 )
| ~ ~ ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK7_SY22 @ SX0 )
| ( p1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK6_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK6_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK4_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ( r1 @ SX0 @ ( sK2_X @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ( r1 @ sK1_X @ sK7_SY22 )
| ~ ~ ( ~ ( r1 @ sK7_SY22 @ sK8_SY43 )
| ~ ~ ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV2: $i] :
( ( ~ ( r1 @ sK7_SY22 @ SV2 )
| ( p1 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(29,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK6_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK6_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK4_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV3: $i] :
( ( ~ ( r1 @ sK1_X @ SV3 )
| ( r1 @ SV3 @ ( sK2_X @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ( r1 @ sK1_X @ sK7_SY22 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ~ ( ~ ( r1 @ sK7_SY22 @ sK8_SY43 )
| ~ ~ ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(33,plain,
! [SV2: $i] :
( ( ( ~ ( r1 @ sK7_SY22 @ SV2 ) )
= $true )
| ( ( p1 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK6_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK6_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(35,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK4_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(36,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV3 ) )
= $true )
| ( ( r1 @ SV3 @ ( sK2_X @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(37,plain,
( ( r1 @ sK1_X @ sK7_SY22 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(38,plain,
( ( ~ ( ~ ( r1 @ sK7_SY22 @ sK8_SY43 )
| ~ ~ ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(39,plain,
! [SV2: $i] :
( ( ( r1 @ sK7_SY22 @ SV2 )
= $false )
| ( ( p1 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(40,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK6_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK6_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(41,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK4_Y @ SX1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ ( sK4_Y @ SX1 @ SX0 ) @ SX2 )
| ( p1 @ SX2 ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK3_Y @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(42,plain,
! [SV3: $i] :
( ( ( r1 @ sK1_X @ SV3 )
= $false )
| ( ( r1 @ SV3 @ ( sK2_X @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(43,plain,
( ( ~ ( r1 @ sK7_SY22 @ sK8_SY43 )
| ~ ~ ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK6_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK6_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV4: $i] :
( ( ~ ( r1 @ sK1_X @ SV4 )
| ! [SY47: $i] :
( ~ ( r1 @ SV4 @ SY47 )
| ~ ( ~ ( r1 @ SY47 @ ( sK4_Y @ SY47 @ SV4 ) )
| ~ ! [SY48: $i] :
( ~ ( r1 @ ( sK4_Y @ SY47 @ SV4 ) @ SY48 )
| ( p1 @ SY48 ) ) ) )
| ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(46,plain,
( ( ~ ( r1 @ sK7_SY22 @ sK8_SY43 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(47,plain,
( ( ~ ~ ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(48,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK6_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK6_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(49,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(50,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV4 ) )
= $true )
| ( ( ! [SY47: $i] :
( ~ ( r1 @ SV4 @ SY47 )
| ~ ( ~ ( r1 @ SY47 @ ( sK4_Y @ SY47 @ SV4 ) )
| ~ ! [SY48: $i] :
( ~ ( r1 @ ( sK4_Y @ SY47 @ SV4 ) @ SY48 )
| ( p1 @ SY48 ) ) ) )
| ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(51,plain,
( ( r1 @ sK7_SY22 @ sK8_SY43 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(52,plain,
( ( ~ ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(53,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ( r1 @ SX1 @ ( sK6_Y @ SX1 @ SX0 ) )
| ~ ( p1 @ ( sK6_Y @ SX1 @ SX0 ) ) ) )
| ~ ( p1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(54,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ sK1_X @ SX0 )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ( r1 @ SX2 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( p1 @ ( sK5_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(55,plain,
! [SV4: $i] :
( ( ( r1 @ sK1_X @ SV4 )
= $false )
| ( ( ! [SY47: $i] :
( ~ ( r1 @ SV4 @ SY47 )
| ~ ( ~ ( r1 @ SY47 @ ( sK4_Y @ SY47 @ SV4 ) )
| ~ ! [SY48: $i] :
( ~ ( r1 @ ( sK4_Y @ SY47 @ SV4 ) @ SY48 )
| ( p1 @ SY48 ) ) ) )
| ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(56,plain,
( ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 )
| ~ ~ ( p1 @ sK9_SY46 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV5: $i] :
( ( ~ ( r1 @ sK1_X @ SV5 )
| ! [SY50: $i] :
( ~ ( r1 @ SV5 @ SY50 )
| ~ ( ~ ( r1 @ SY50 @ ( sK6_Y @ SY50 @ SV5 ) )
| ~ ( p1 @ ( sK6_Y @ SY50 @ SV5 ) ) ) )
| ~ ( p1 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(58,plain,
! [SV6: $i] :
( ( ~ ( r1 @ sK1_X @ SV6 )
| ! [SY51: $i] :
( ~ ( r1 @ SV6 @ SY51 )
| ! [SY52: $i] :
( ~ ( r1 @ SY51 @ SY52 )
| ~ ( ~ ( r1 @ SY52 @ ( sK5_X @ SY52 @ SY51 @ SV6 ) )
| ~ ~ ( p1 @ ( sK5_X @ SY52 @ SY51 @ SV6 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV4: $i] :
( ( ( ! [SY47: $i] :
( ~ ( r1 @ SV4 @ SY47 )
| ~ ( ~ ( r1 @ SY47 @ ( sK4_Y @ SY47 @ SV4 ) )
| ~ ! [SY48: $i] :
( ~ ( r1 @ ( sK4_Y @ SY47 @ SV4 ) @ SY48 )
| ( p1 @ SY48 ) ) ) ) )
= $true )
| ( ( ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(60,plain,
( ( ~ ( r1 @ sK8_SY43 @ sK9_SY46 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(61,plain,
( ( ~ ~ ( p1 @ sK9_SY46 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(62,plain,
! [SV5: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV5 ) )
= $true )
| ( ( ! [SY50: $i] :
( ~ ( r1 @ SV5 @ SY50 )
| ~ ( ~ ( r1 @ SY50 @ ( sK6_Y @ SY50 @ SV5 ) )
| ~ ( p1 @ ( sK6_Y @ SY50 @ SV5 ) ) ) )
| ~ ( p1 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(63,plain,
! [SV6: $i] :
( ( ( ~ ( r1 @ sK1_X @ SV6 ) )
= $true )
| ( ( ! [SY51: $i] :
( ~ ( r1 @ SV6 @ SY51 )
| ! [SY52: $i] :
( ~ ( r1 @ SY51 @ SY52 )
| ~ ( ~ ( r1 @ SY52 @ ( sK5_X @ SY52 @ SY51 @ SV6 ) )
| ~ ~ ( p1 @ ( sK5_X @ SY52 @ SY51 @ SV6 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(64,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV7 )
| ~ ( ~ ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
| ~ ! [SY54: $i] :
( ~ ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SY54 )
| ( p1 @ SY54 ) ) ) )
= $true )
| ( ( ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(65,plain,
( ( r1 @ sK8_SY43 @ sK9_SY46 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(66,plain,
( ( ~ ( p1 @ sK9_SY46 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(67,plain,
! [SV5: $i] :
( ( ( r1 @ sK1_X @ SV5 )
= $false )
| ( ( ! [SY50: $i] :
( ~ ( r1 @ SV5 @ SY50 )
| ~ ( ~ ( r1 @ SY50 @ ( sK6_Y @ SY50 @ SV5 ) )
| ~ ( p1 @ ( sK6_Y @ SY50 @ SV5 ) ) ) )
| ~ ( p1 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(68,plain,
! [SV6: $i] :
( ( ( r1 @ sK1_X @ SV6 )
= $false )
| ( ( ! [SY51: $i] :
( ~ ( r1 @ SV6 @ SY51 )
| ! [SY52: $i] :
( ~ ( r1 @ SY51 @ SY52 )
| ~ ( ~ ( r1 @ SY52 @ ( sK5_X @ SY52 @ SY51 @ SV6 ) )
| ~ ~ ( p1 @ ( sK5_X @ SY52 @ SY51 @ SV6 ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY51 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
| ~ ! [SY54: $i] :
( ~ ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SY54 )
| ( p1 @ SY54 ) ) ) )
= $true )
| ( ( ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(70,plain,
( ( p1 @ sK9_SY46 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(71,plain,
! [SV5: $i] :
( ( ( ! [SY50: $i] :
( ~ ( r1 @ SV5 @ SY50 )
| ~ ( ~ ( r1 @ SY50 @ ( sK6_Y @ SY50 @ SV5 ) )
| ~ ( p1 @ ( sK6_Y @ SY50 @ SV5 ) ) ) ) )
= $true )
| ( ( ~ ( p1 @ SV5 ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(72,plain,
! [SV8: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV8 )
| ! [SY55: $i] :
( ~ ( r1 @ SV8 @ SY55 )
| ~ ( ~ ( r1 @ SY55 @ ( sK5_X @ SY55 @ SV8 @ SV6 ) )
| ~ ~ ( p1 @ ( sK5_X @ SY55 @ SV8 @ SV6 ) ) ) )
| ! [SY56: $i] :
( ~ ( r1 @ SV8 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(73,plain,
! [SV7: $i,SV4: $i] :
( ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
| ~ ! [SY54: $i] :
( ~ ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SY54 )
| ( p1 @ SY54 ) ) ) )
= $true )
| ( ( ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(74,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV9 )
| ~ ( ~ ( r1 @ SV9 @ ( sK6_Y @ SV9 @ SV5 ) )
| ~ ( p1 @ ( sK6_Y @ SV9 @ SV5 ) ) ) )
= $true )
| ( ( ~ ( p1 @ SV5 ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(75,plain,
! [SV8: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV8 ) )
= $true )
| ( ( ! [SY55: $i] :
( ~ ( r1 @ SV8 @ SY55 )
| ~ ( ~ ( r1 @ SY55 @ ( sK5_X @ SY55 @ SV8 @ SV6 ) )
| ~ ~ ( p1 @ ( sK5_X @ SY55 @ SV8 @ SV6 ) ) ) )
| ! [SY56: $i] :
( ~ ( r1 @ SV8 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(76,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
| ~ ! [SY54: $i] :
( ~ ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SY54 )
| ( p1 @ SY54 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(77,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV9 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV9 @ ( sK6_Y @ SV9 @ SV5 ) )
| ~ ( p1 @ ( sK6_Y @ SV9 @ SV5 ) ) ) )
= $true )
| ( ( ~ ( p1 @ SV5 ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(78,plain,
! [SV8: $i,SV6: $i] :
( ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( ! [SY55: $i] :
( ~ ( r1 @ SV8 @ SY55 )
| ~ ( ~ ( r1 @ SY55 @ ( sK5_X @ SY55 @ SV8 @ SV6 ) )
| ~ ~ ( p1 @ ( sK5_X @ SY55 @ SV8 @ SV6 ) ) ) )
| ! [SY56: $i] :
( ~ ( r1 @ SV8 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(79,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(80,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ! [SY54: $i] :
( ~ ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SY54 )
| ( p1 @ SY54 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(81,plain,
! [SV9: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV9 @ ( sK6_Y @ SV9 @ SV5 ) )
| ~ ( p1 @ ( sK6_Y @ SV9 @ SV5 ) ) ) )
= $true )
| ( ( ~ ( p1 @ SV5 ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(82,plain,
! [SV6: $i,SV8: $i] :
( ( ( ! [SY55: $i] :
( ~ ( r1 @ SV8 @ SY55 )
| ~ ( ~ ( r1 @ SY55 @ ( sK5_X @ SY55 @ SV8 @ SV6 ) )
| ~ ~ ( p1 @ ( sK5_X @ SY55 @ SV8 @ SV6 ) ) ) ) )
= $true )
| ( ( ! [SY56: $i] :
( ~ ( r1 @ SV8 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(83,plain,
! [SV4: $i,SV7: $i] :
( ( ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
= $true )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(84,plain,
! [SV4: $i,SV7: $i] :
( ( ( ! [SY54: $i] :
( ~ ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SY54 )
| ( p1 @ SY54 ) ) )
= $true )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(85,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ ( sK6_Y @ SV9 @ SV5 ) )
| ~ ( p1 @ ( sK6_Y @ SV9 @ SV5 ) ) )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( ~ ( p1 @ SV5 ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(86,plain,
! [SV6: $i,SV10: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV10 )
| ~ ( ~ ( r1 @ SV10 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) )
| ~ ~ ( p1 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) ) ) )
= $true )
| ( ( ! [SY56: $i] :
( ~ ( r1 @ SV8 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(87,plain,
! [SV7: $i,SV11: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV11 )
| ~ ( ~ ( r1 @ SV11 @ ( sK3_Y @ SV11 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SV11 @ SV4 ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(88,plain,
! [SV12: $i,SV4: $i,SV7: $i] :
( ( ( ~ ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SV12 )
| ( p1 @ SV12 ) )
= $true )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ ( sK6_Y @ SV9 @ SV5 ) ) )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( ~ ( p1 @ SV5 ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(90,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( p1 @ ( sK6_Y @ SV9 @ SV5 ) ) )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( ~ ( p1 @ SV5 ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(91,plain,
! [SV6: $i,SV10: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV10 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV10 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) )
| ~ ~ ( p1 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) ) ) )
= $true )
| ( ( ! [SY56: $i] :
( ~ ( r1 @ SV8 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(92,plain,
! [SV7: $i,SV11: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV11 @ ( sK3_Y @ SV11 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SV11 @ SV4 ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV12: $i,SV4: $i,SV7: $i] :
( ( ( ~ ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SV12 ) )
= $true )
| ( ( p1 @ SV12 )
= $true )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(94,plain,
! [SV5: $i,SV9: $i] :
( ( ( r1 @ SV9 @ ( sK6_Y @ SV9 @ SV5 ) )
= $true )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( ~ ( p1 @ SV5 ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(95,plain,
! [SV5: $i,SV9: $i] :
( ( ( p1 @ ( sK6_Y @ SV9 @ SV5 ) )
= $true )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( ~ ( p1 @ SV5 ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(96,plain,
! [SV6: $i,SV10: $i,SV8: $i] :
( ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV10 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) )
| ~ ~ ( p1 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) ) ) )
= $true )
| ( ( ! [SY56: $i] :
( ~ ( r1 @ SV8 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(97,plain,
! [SV7: $i,SV11: $i,SV4: $i] :
( ( ( r1 @ SV4 @ SV11 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV11 @ ( sK3_Y @ SV11 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SV11 @ SV4 ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(98,plain,
! [SV12: $i,SV4: $i,SV7: $i] :
( ( ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SV12 )
= $false )
| ( ( p1 @ SV12 )
= $true )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( ! [SY49: $i] :
( ~ ( r1 @ SV4 @ SY49 )
| ~ ( ~ ( r1 @ SY49 @ ( sK3_Y @ SY49 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SY49 @ SV4 ) ) ) ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(99,plain,
! [SV9: $i,SV5: $i] :
( ( ( p1 @ SV5 )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( r1 @ SV9 @ ( sK6_Y @ SV9 @ SV5 ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(100,plain,
! [SV9: $i,SV5: $i] :
( ( ( p1 @ SV5 )
= $false )
| ( ( r1 @ SV5 @ SV9 )
= $false )
| ( ( p1 @ ( sK6_Y @ SV9 @ SV5 ) )
= $true )
| ( ( r1 @ sK1_X @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(101,plain,
! [SV6: $i,SV8: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) )
| ~ ~ ( p1 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) ) )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( ! [SY56: $i] :
( ~ ( r1 @ SV8 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(102,plain,
! [SV7: $i,SV4: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ ( sK3_Y @ SV11 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SV11 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV11 )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(103,plain,
! [SV12: $i,SV7: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV13 )
| ~ ( ~ ( r1 @ SV13 @ ( sK3_Y @ SV13 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SV13 @ SV4 ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( p1 @ SV12 )
= $true )
| ( ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SV12 )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(104,plain,
! [SV6: $i,SV8: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) ) )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( ! [SY56: $i] :
( ~ ( r1 @ SV8 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(105,plain,
! [SV6: $i,SV8: $i,SV10: $i] :
( ( ( ~ ~ ( p1 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) ) )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( ! [SY56: $i] :
( ~ ( r1 @ SV8 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(106,plain,
! [SV7: $i,SV4: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ ( sK3_Y @ SV11 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV11 )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(107,plain,
! [SV7: $i,SV4: $i,SV11: $i] :
( ( ( ~ ~ ( p1 @ ( sK3_Y @ SV11 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV11 )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(108,plain,
! [SV12: $i,SV7: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV13 @ ( sK3_Y @ SV13 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SV13 @ SV4 ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( p1 @ SV12 )
= $true )
| ( ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SV12 )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(109,plain,
! [SV6: $i,SV8: $i,SV10: $i] :
( ( ( r1 @ SV10 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) )
= $true )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( ! [SY56: $i] :
( ~ ( r1 @ SV8 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(110,plain,
! [SV6: $i,SV8: $i,SV10: $i] :
( ( ( ~ ( p1 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) ) )
= $true )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( ! [SY56: $i] :
( ~ ( r1 @ SV8 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(111,plain,
! [SV7: $i,SV4: $i,SV11: $i] :
( ( ( r1 @ SV11 @ ( sK3_Y @ SV11 @ SV4 ) )
= $true )
| ( ( r1 @ SV4 @ SV11 )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(112,plain,
! [SV7: $i,SV4: $i,SV11: $i] :
( ( ( ~ ( p1 @ ( sK3_Y @ SV11 @ SV4 ) ) )
= $true )
| ( ( r1 @ SV4 @ SV11 )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(113,plain,
! [SV12: $i,SV7: $i,SV13: $i,SV4: $i] :
( ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV13 @ ( sK3_Y @ SV13 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SV13 @ SV4 ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( p1 @ SV12 )
= $true )
| ( ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SV12 )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(114,plain,
! [SV6: $i,SV10: $i,SV14: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV14 )
| ( p1 @ SV14 ) )
= $true )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV10 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) )
= $true )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(115,plain,
! [SV6: $i,SV8: $i,SV10: $i] :
( ( ( p1 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( ! [SY56: $i] :
( ~ ( r1 @ SV8 @ SY56 )
| ( p1 @ SY56 ) ) )
= $true )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(116,plain,
! [SV7: $i,SV4: $i,SV11: $i] :
( ( ( p1 @ ( sK3_Y @ SV11 @ SV4 ) )
= $false )
| ( ( r1 @ SV4 @ SV11 )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( r1 @ SV7 @ ( sK4_Y @ SV7 @ SV4 ) )
= $true )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(117,plain,
! [SV12: $i,SV7: $i,SV4: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ ( sK3_Y @ SV13 @ SV4 ) )
| ~ ~ ( p1 @ ( sK3_Y @ SV13 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( p1 @ SV12 )
= $true )
| ( ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SV12 )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(118,plain,
! [SV6: $i,SV10: $i,SV14: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV14 ) )
= $true )
| ( ( p1 @ SV14 )
= $true )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV10 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) )
= $true )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(119,plain,
! [SV6: $i,SV10: $i,SV15: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV15 )
| ( p1 @ SV15 ) )
= $true )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( p1 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) )
= $false )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(120,plain,
! [SV12: $i,SV7: $i,SV4: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ ( sK3_Y @ SV13 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( p1 @ SV12 )
= $true )
| ( ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SV12 )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(121,plain,
! [SV12: $i,SV7: $i,SV4: $i,SV13: $i] :
( ( ( ~ ~ ( p1 @ ( sK3_Y @ SV13 @ SV4 ) ) )
= $false )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( p1 @ SV12 )
= $true )
| ( ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SV12 )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(122,plain,
! [SV6: $i,SV10: $i,SV14: $i,SV8: $i] :
( ( ( r1 @ SV8 @ SV14 )
= $false )
| ( ( p1 @ SV14 )
= $true )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV10 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) )
= $true )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(123,plain,
! [SV6: $i,SV10: $i,SV15: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV15 ) )
= $true )
| ( ( p1 @ SV15 )
= $true )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( p1 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) )
= $false )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(124,plain,
! [SV12: $i,SV7: $i,SV4: $i,SV13: $i] :
( ( ( r1 @ SV13 @ ( sK3_Y @ SV13 @ SV4 ) )
= $true )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( p1 @ SV12 )
= $true )
| ( ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SV12 )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(125,plain,
! [SV12: $i,SV7: $i,SV4: $i,SV13: $i] :
( ( ( ~ ( p1 @ ( sK3_Y @ SV13 @ SV4 ) ) )
= $true )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( p1 @ SV12 )
= $true )
| ( ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SV12 )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(126,plain,
! [SV6: $i,SV10: $i,SV15: $i,SV8: $i] :
( ( ( r1 @ SV8 @ SV15 )
= $false )
| ( ( p1 @ SV15 )
= $true )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( p1 @ ( sK5_X @ SV10 @ SV8 @ SV6 ) )
= $false )
| ( ( r1 @ SV6 @ SV8 )
= $false )
| ( ( r1 @ sK1_X @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(127,plain,
! [SV12: $i,SV7: $i,SV4: $i,SV13: $i] :
( ( ( p1 @ ( sK3_Y @ SV13 @ SV4 ) )
= $false )
| ( ( r1 @ SV4 @ SV13 )
= $false )
| ( ( r1 @ SV4 @ SV7 )
= $false )
| ( ( p1 @ SV12 )
= $true )
| ( ( r1 @ ( sK4_Y @ SV7 @ SV4 ) @ SV12 )
= $false )
| ( ( r1 @ sK1_X @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(128,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,127,126,124,122,116,111,100,99,70,65,51,42,39,37]) ).
thf(129,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL654+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 06:33:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.36
% 0.19/0.36 No.of.Axioms: 1
% 0.19/0.36
% 0.19/0.36 Length.of.Defs: 0
% 0.19/0.36
% 0.19/0.36 Contains.Choice.Funs: false
% 0.19/0.37 (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3,loop_count:0,foatp_calls:0,translation:fof_full)..............
% 0.40/0.62
% 0.40/0.62 ********************************
% 0.40/0.62 * All subproblems solved! *
% 0.40/0.62 ********************************
% 0.40/0.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:128,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.40/0.62
% 0.40/0.62 %**** Beginning of derivation protocol ****
% 0.40/0.62 % SZS output start CNFRefutation
% See solution above
% 0.40/0.62
% 0.40/0.62 %**** End of derivation protocol ****
% 0.40/0.62 %**** no. of clauses in derivation: 129 ****
% 0.40/0.62 %**** clause counter: 128 ****
% 0.40/0.62
% 0.40/0.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:128,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------